Mathematics - Pure
Linear Algebra
David Cherney, UC Davis
Tom Denton, The Fields Institute and York University
Andrew K. Waldon, UC Davis
We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.
(2 reviews)
Algorithms and Data Structures With Applications to Graphics and Geometry
Jurg Nievergelt, ETH Zurich
Klaus Hinrichs, University of Muenster
An introductory coverage of algorithms and data structures with application to graphics and geometry.
(1 review)
Fundamentals of Mathematics
Denny Burzynski, College of Southern Nevada
Wade Ellis, West Valley Community College
Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:
(6 reviews)
Intermediate Algebra
John Redden, College of the Sequoias
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines.
(1 review)
Calculus for the Life Sciences: A Modeling Approach Volume 2
James L. Cornette, Iowa State University
Ralph A. Ackerman
Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.
No ratings
(0 reviews)
Precalculus: An Investigation of Functions
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
(6 reviews)
Vector Calculus
Michael Corral, Schoolcraft College
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.
No ratings
(0 reviews)
Calculus for the Life Sciences: A Modeling Approach Volume 1
James L. Cornette, Iowa State University
Ralph A. Ackerman, Iowa State University
Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.
No ratings
(0 reviews)
Whitman Calculus
David Guichard, Whitman College
An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.
(6 reviews)
College Trigonometry
Carl Stitz, Lakeland Community College
Jeff Zeager, Lorain County Community College
Covers chapters 10-11 of Precalculus.
(1 review)